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Finding the Fourth Proportional to 614.57, 848.12 and 349.02

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Solution

The fourth proportional to 614.57, 848.12 and 349.02 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.57 : 848.12 = 349.02 : x
  2. Step 2: Convert to fraction form
    614.57/848.12 = 349.02/x
  3. Step 3: Cross multiply
    614.57x = 848.12 × 349.02
  4. Step 4: Simplify right side
    614.57x = 296,009.10
  5. Step 5: Solve for x
    x = 296,009.10/614.57
  6. Step 6: Final answer
    x = 481.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.